Men and Women Assigned to Projects

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In the table above, if no one is assigned to more than one project, what is the number of women assigned to Project 2?

Review: Men and Women Assigned to Projects


Explanation

Since the rightmost column is a sum of the other two columns, the table gives us a series of equations:







Although most people prefer solving by substitution, combination will be faster here. We can subtract the last equation from the first equation to get





Adding this last equation to the second equation of the original set, we get



Therefore, .

The correct answer is (D).


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